13709664 has 72 divisors (see below), whose sum is σ = 39351312. Its totient is φ = 4527360.

The previous prime is 13709651. The next prime is 13709681. The reversal of 13709664 is 46690731.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51997 + ... + 52259.

It is an arithmetic number, because the mean of its divisors is an integer number (546546).

Almost surely, 2^13709664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13709664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19675656).

13709664 is an abundant number, since it is smaller than the sum of its proper divisors (25641648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13709664 is a wasteful number, since it uses less digits than its factorization.

13709664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 13709664 is about 3702.6563437619. The cubic root of 13709664 is about 239.3365007267.

The spelling of 13709664 in words is "thirteen million, seven hundred nine thousand, six hundred sixty-four".